Comparison of y-scaling for electrons and hadrons. R. J. (Jerry) Peterson University of Colorado USA
R. J. (Jerry) Peterson
University of Colorado USA
Much has been learned from inclusive electron scattering from nuclei at intermediate energies and momentum transfers. Scaling, with several variables condensed into just one, has served to unify many efforts. Electron-nuclear physics goes by a very well-known reaction mechanism. Although the strong interaction complicates analysis of inclusive hadron scattering at similar energied and momentum transfers, there is much to be learned from the data available.
Today—rules, constraints and a few examples for (p,px), (p,nx), (p,px), (p,p0x) and (K+,K+x).
One and only one elastic collision between the beam particle and a bound nucleon, for “billiard ball” kinematics. Thus, combine q and w data to a single scaling variable=y today.
In-medium elastic cross sections are known from free space scattering, with known off-shell effects.
The number of one-and-only-one collisions can be computed with the eikonalGlauber model, which depends upon in-medium total beam-nucleon cross sections. Trivial for electrons.
Copy the lessons learned from electron scaling for the hard case of hadronquasifree scattering.
This is interesting because we can probe the interactions among nucleons within the nucleus by quasifree scattering from one of them while it is interacting, but need to match the quantum numbers of the probe and the interaction.
For electron charge scattering, the response is independent of A. Is this true for hadrons?
We need Aeff or Neff for computing F(y), so this is a test of our Glauber method. We force this scaling by changing the in-medium beam-nucleon total cross section, with ratio b of in-medium/free total cross sections =0.70-0.75
Y = y / kFermi
f(Y) = F(y) x kFermi
The one-and-only-one scattering is tested by being independent of momentum transfer q, as found for electron scattering, but not obvious for hadrons.
Are the responses for carbon near q=550 MeV/c the same for ALL hadrons? Another test of the Glauber method.